Question Video: Writing Algebraic Expressions Mathematics • First Year of Preparatory School

Video Transcript

Express the following as an algebraic expression: the quotient of a number 𝑤 and five, increased by two.

In this question, we want to represent a series of operations applied to a given variable 𝑤. We want to represent the quotient of 𝑤 and five that is increased by two. It is important that we get the order of operations, often remembered using the acronym PEMDAS, correct. We firstly want the quotient of 𝑤 and five, which we write as 𝑤 over five. Next, we want to increase this by two, which means we need to add two to the expression.

We can therefore conclude that the correct expression is 𝑤 over five plus two.